Solve for x and y by any method(show work)?

Question

If there is no solution then simply put no solution.

1.x=4y
2x+5y=26

2. 3x-2y=13
4x+2y=8

Answer 1

Question 1
8y + 5y = 26
13y = 26
y = 2

x = 8 , y = 2

Question 2
7x = 21
x = 3

12 + 2y = 8
2y = - 4
y = - 2

x = 3 , y = - 2

Answer 2

2(4y) + 5y = 26
13y = 26 y = 2
2 x 4 = 8 x = 8

-13 + 3x + 4x = 8
21 = 7x x = 3
3 x 4 = 12 12 + -4(-2[2])= 8 y = -2

Answer 3

1) x=4y, 2*4y +5y=26.

13y=26, y=2. x= 4y= 4*2=8. x=8, y= 2.
2) 3x-2y=13
4x +2y=8
Add 7x=21, x=3. 3*3 -2y=13, -2y= 13-9=4, y= -2.

x= 3, y= -2.

Answer 4

x = 4y
2x + 5y = 26
2(4y) + 5y = 26
8y + 5y = 26
13y = 26

y = 2

x = 4y
x = 4(2)

x = 8

intersection: (8,2)




3x-2y=13
4x+2y=8

add down:

7x = 21

x = 3

replace into either equation:

3(3) - 2y = 13
9 - 2y = 13
-2y = 4

y= -2

or

4(3) + 2y = 8
12 + 2y = 8
2y = -4

y = -2


intersection: (3,-2)

Answer 5

2x+5y=26
2(4y)+5y=26 (subsitute the x value in for the x)
8y+5y=26
13y=26
y=2 (divide both sides by 13)

2x+5(2)=26 (subsitute the Y value in)
2x+10=26
2x=16 (subtract the 10 from both sides)
x=8 (divide both sides by 2.)

Y=2, X=8

I am going to asume this is what you had to do.

Answer 6

1.x=4y
2x+5y=26 we put where x=4y and we have:
2*4y + 5y=26
8y + 5y=26
13y=26
y=26/13
y=2
so x=4y
x=4*2
x=8
so (x,y)=(8,2)

2. 3x-2y=13
4x+2y=8
By addition of the two equations we take:
3x - 2y + 4x + 2y = 13 + 8
7x = 21
x=21/7
x=3
so from the first equation we have:
3x - 2y = 13
3*3 -2y = 13
9 - 2y = 13
-2y = 13 - 9
-2y = 4
y=-2
so (x,y)=(3,-2)